Questions tagged [interpretation]
Refers generally to making substantive conclusions from the results of a statistical analysis.
2,498 questions
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How should impulse responses be interpreted in Local Projections when using log first-differences vs long-differences vs percentage data?
I am estimating a local projection model, where on the lhs I have long log difference of the variable, and on the rhs I have log first difference.
I am unsure how to interpret the coefficient. So ...
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178
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Narrow vs Broad-based U-shape comparisons
I’m modeling mortality using a multivariate logistic regression model with a nonlinear effect of X1 and I’m examining whether this relationship changes across ...
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51
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Guidance for communicating insights to inform breakdown companies how to assess breakdown risk [closed]
I come from a machine learning background, however I am trying to learn more traditional data science. I have a dataset of vehicles and the target is the Breakdown Likelihood (1 to 3, 1 being lowest), ...
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Interpreting a large difference in results after applying weighted least squares
I am coming here looking for guidance on how to interpret a noticeable difference in results when estimating an OLS versus a weighted OLS model.
Let me first provide some context on my problem. I ...
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368
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Large differences in correlation and regression results
I am working on my dissertation and my supervisor is on a trip, so I am trying to sort this on my own.
I am studying the relationship between GDP and life satisfaction (Gallup Reports) for the period ...
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How to explain different regression results when dependent variable is in log or in level
I am running n event study like DID analysis where my dependent variable is expressed in logs. The variable is the aggregate amount of sales from a given firm to a specific type of partner over a year,...
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179
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How to decide whether to include an interaction term in a model
If an interaction term in a regression model leads to a lower AIC (indicating a better model fit), but the p-value for the interaction term itself is not statistically significant, should the ...
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105
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Choosing between spline models with different degrees of freedom and interaction terms in logistic regression
I am trying to visualize how a continuous independent variable X1 relates to a binary outcome Y, while allowing for potential ...
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How to interpret posterior uncertainty (e.g., credible intervals) under model misspecification?
In Bayesian inference, when the model is well-specified, and the prior is reasonable with respect to the true parameter of the model, the posterior is guaranteed to be well-calibrated under fairly ...
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470
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Interpretation of slope coefficient when a variable appears in multiple powers
In a multiple regression, how do you interpret the slope coefficient of a variable if some other power of the variable, say, the variable squared also appears as an explanatory variable, i.e., suppose ...
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standardized indirect effects on SEM [closed]
I have 4 exogenous variables, 3 mediators, and 3 endogenous variables. AMOS has calculated direct and indirect effects, and I have relied on standardized indirect effects to report in my dissertation. ...
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Rural and Urban subgroup analysis and potential endogeneity
I’m investigating the question: How does childbearing (specifically, transitioning from two to three children) affect mothers’ and fathers’ labor supply, particularly in rural versus urban settings?
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Problem with fractional cointegration test result interpretation
I'm struggling to interpret result of cointegration test (fractional case (Johansen and Nielsen, 2012)).
This test suggest that in two non-stationary series could be a cointegration but in fractional ...
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105
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Applying quantile regression to naturally log-transform dependent variable and interpret results as symmetrical percentage change
I am using quantile regression and I was wondering whether it is appropriate to apply a natural log transformation of the dependent variable and then interpret the quantile regression results as ...
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GLMM interpretation and DHARMa quantile deviations detected
I could really use some help interpreting my GLMM and its diagnostics. This is my first time posting so let me know if you would like further clarification on anything!
I'm trying to build a model for ...
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Pseudofirst order data fit
The following plot describes the non-linear relationship between x and y variables. The data fit a pseudo-first-order association fairly well based on our appraisal of the residuals and x-y graph. ...
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Interpretation of difference-in-differences (DiD) coefficient when treatment lasts for more than one period
In introductory courses, difference-in-differences (DiD) might be taught by framing the research design into a "pre-treatment" period and a "post-treatment" period. That is, there ...
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GAMMs in R: How to interpret global term when concurvity with group-level smoother is present?
I've fixed my model and incorporated all the terms I believe have an effect on my response (abundance of a single species), but I'm stuck on how to interpret the long-term trend plot, ...
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Power and sample size, original sample size estimation was 34, current sample size is 13 and power is above .8 [duplicate]
I have been doing supervised UG research for the last year, and when I did an initial power analysis for the experimental phase in January (preliminary phase was questionnaire data and recruitment) a ...
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Choosing a statistical test with extremely small n, non-normal data, and asymmetrical differences
The background info: We are testing a water filtration machine that processes water from a lake. We suspect that the machine may kill algae or act as a "breeding site" for algae in the water....
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interpretation of confidence intervals computed on different things
Below is a question that has nagged me for a long time. I've had a look at some other threads about confidence intervals (in particular this one What, precisely, is a confidence interval?) but I ...
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Interpretation of PCA Loadings Plot
When interpreting loadings for different principal components in PCA, sometimes the same variable will have a positive loading for one PC, and a negative loading in another PC, despite both PCs having ...
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Interpretation of Average Marginal Effect following Beta Regression Model
I have calculated the average marginal effects/AMEs of some predictors on my outcome variable following a fitted mixed effects Beta regression model. My question is, how to make interpretation of the ...
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70
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Comparison of Hazard Ratios
How does one statistically compare HR from a main analysis vs. HR from a sensitivity analysis (from that main analysis)?
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92
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Interpretation of restricted cubic spline coefficients significance
Suppose we have a linear regression model fitted with rms::ols in R.
Now suppose we have our response (i.e., dependent) variable, which is ...
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Interpretation of multiple log linear regression coefficients
I am conducting a research "Analysis of consumer behavior on the marketplace". As a result of the analysis, the following regression equation was obtained:
Ln(Sales) = 4,688 - 0,...
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Interpreting coefficients from a conditional logistic regression (fixed effects)
I am doing conditional logistic regression in R using clogit from survival. Lets say that Y takes values fail/succes. My ...
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Quantifying uncertainty after Friedman test with low sample size
We are testing a water filtration machine that filters lake water using two sequential filters. The goal is to determine whether the machine effectively removes certain chemicals.
To test this, we ...
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1
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98
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Interpreting odds ratios greater than 1 , predicted odds less than 1
I am fitting an interrupted time series model to analyze a binary outcome: whether a woman reported feeding the child solid food within the first six months of birth (Yes/No).
The main exposure is ...
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292
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SHAP values across different groups
I developed and compared four ML models via Random Forest, Support Vector Machine, Logistic Regression, and Xgboost (tidymodels R package) algorithms using data without stratification by age groups. ...
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610
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Dissertation data dilemma: 2 X 2 between subjects ANOVA significant interaction yet no main effects. How do I interpret this?
I'm a 5th year PhD student in Experimental Psychology who should be graduating this May. Before I send out my final draft to my committee, my advisor wanted me to do a 2 X 2 between subjects ANOVA. My ...
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Interpreting Results of Coxme in R
** Edited **
Such a good point! I don't know why I included sex as a random effect instead of a fixed effect! Code is updated to reflect the changes. Perhaps I should make Sex an interaction term ...
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180
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Proper Interpretation of a confidence interval
I have a doubt. When we say the probability of a coin toss resulting in a head is 50%, we solely refer to that event alone. If we are to take into account the coin toss for a number of events, we ...
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Bayesan network meta-analysis with BUGSnet package in R: Meta-regression interpretation
I am currently performing a network meta-analysis with BUGSnet package in R.
I have some issues interpreting meta-regression results. It’s not clear to me how to interpret the league plot of the meta-...
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89
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Understanding misfit within correlated factors model
I'm working on a project in which I am evaluating scales. I'm running into an issue where despite fitting two CFA models separately and achieving good fit, when put together in a correlated factors ...
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141
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Interpretation of coefficients in log regression models
For a basic linear regression:
$$y = \beta_0 + \beta_1 x + \varepsilon$$
Its clear to see the interpretation of the estimated parameters:
$$y = \beta_0 + \beta_1 x + \varepsilon$$
$$\frac{dy}{dx} = \...
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Interpretation of negative binomial regression in a difference-in-differences analysis
Question on a difference in difference analysis as I confused myself trying to interpret it in simple terms:
I have an intervention which shows a decrease of 8% in hospital visits. Let's say in my ...
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Difficulty of interpretation of coefficients in Beta Regression Tree?
I am working with a beta regression tree model and have estimated the mean and precision coefficients. However, I am having difficulty interpreting these coefficients. Can you help me understand them ...
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Why isn’t this dynamic number formatting approach used more often for regression outputs?
I’ve come up with a dynamic approach to formatting numbers that I find much clearer than the traditional fixed-decimal formats, especially when displaying regression outputs. Here’s the system I use:
...
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How do I interpret multiple linear regression results as % change in dependent variable
Say I'm interpreting my MLR and writing about one of my independent variables and it is an index (0-1), the coefficient is 4.169* . My dependent variable is in units degrees celsius. How do I ...
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Confirm my understanding on the interaction term
I have a regression as follows:
log(Wage) = B1Female + B2Non-white + B3(Female X Non-white) + Fixed-effect + e
My understanding is that,
the change in the wage for white-male = 0 (baseline)
the ...
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164
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Understanding the Interpretation of Confidence Intervals in Repeated Experiments
I understand that the interpretation of a 95% confidence interval (CI) is that, in the long run, 95% of such intervals computed from repeated experiments will contain the true parameter. I also know ...
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Can a power analysis calculate n to detect changes in a population mean over time?
Would it be incorrect to interpret a power analysis as: one possible method of calculating the minimum required sample size to detect a change (%) in a population mean, from one point in time to ...
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Whether to interprete Poisson model estimates as semielasticities or as marginal effects on expected counts
I am trying to better understand Poisson models whose coefficients are expressed in log-counts because counts are skewed. See example estimates on synthetic data below.
Some suggest interpreting log-...
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1
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147
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Understanding negative partial dependency values
What does a negative partial dependency value (centered/mean value), such as a change from -0.8 to -0.7 with an increase in input, indicate for a parameter?
Does this mean the parameter has a negative ...
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Does an interaction mean anything if there is no main effect? [duplicate]
I ran a psychology experiment where I manipulated the participant's task. While I'm looking at the effect of Task on my measure, I also wanted to explore whether there is a trial order effect on that ...
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Interpreting logistic regression coefficients in "percentage increase/decrease"
I understand that from logistic regression, (let's say with two predictors)
$$\log\left(\frac{p}{1-p}\right) = \beta_0 + \beta_1x_1 + \beta_2 x_2$$
and that when $x_1$ is binary, this can be ...
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349
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Is there a general interpretation for standardized beta strentgh?
After running a linear regression model I get the beta as effect size. This linear regression model was run in r using the geeglm...
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50
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Interpreting cross table summary
I am generating a simple 2 by N contingency table that summarizes women’s employment status before and during/after COVID-19. The columns represent the two time periods: 1) Before COVID and 2) During/...
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512
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How to interpret GAMs with multiple vs single variables?
So, I have been trying to use GAMs to observe the relationship between total economic damages (due to a certain event) and a variety of factors, including, total number of events, total number of ...